Finding the Third Proportional to 42,870 and 92,672

Step by Step Solution

1. Step 1: Write the proportion equation
   42,870 : 92,672 = 92,672 : x
2. Step 2: Convert to fraction form
   42,870/92,672 = 92,672/x
3. Step 3: Cross multiply
   42,870x = 92,672 × 92,672
4. Step 4: Simplify right side
   42,870x = 8,588,099,584
5. Step 5: Solve for x
   x = 8,588,099,584/42,870
6. Step 6: Final answer
   x = 200,328.89